Jerome has fallen down the pecking order with Peter Crouch, Jonathan Walters and Kenwyne Jones ahead of him a various times so far this season.
This had led to speculation that the former Birmingham City man could be on his way out of the club, but Pulis has been quick to state his desire to hold of the 26-year-old.
"Cameron has been exceptional. His attitude has been first class," Pulis told the Daily Express. "We didn't have any enquiries [in January], and I wouldn't have accepted it anyway, because I think he's an important part of the group and the team. He can score all sorts of goals, he has pace and power."
Jerome has scored four goals in all competitions, with his last goal coming as a substitute in the 81st-minute of a 2-1 league win over Reading.
"When the game opens up in the last quarter of an hour, he's a great player to bring off the bench. He's a game changer without a doubt," Pulis said. "But he's still moaning and groaning, because he reckons he should be playing all the time. I'd be really disappointed if he wasn't moaning and groaning."